A. Vocabulary: Numerical Expression, Order of operations, Variable, Algebraic expression, Mathematical model, Verbal model, Algebraic model, Compound inequality
B. algebraic expressions, order of operations
C. linear equations
D. literal equations and formulas
E. Problem solving
F. linear inequalities
G. applications
1. Can the student solve linear equations and inequalities?
B1. Evaluate algebraic expressions using order of operations
C1. Solve linear equations
D1. Rewrite equations and formulas
E1. Problem solve using linear equations and algebraic expressions
F1. Solve linear inequalities
G1. Given a real world application, write an expression and simplify
. Vocabulary: Function, Domain, Independent variable, Range, Dependent variable, Mathematical model, Slope, Constant of variation B. slope and intercepts C. point-slope form, slope intercept form, and standard form D. Direct variation, Inverse variation , Joint variation E. inequality F. applications
1. Can the student use linear equations and their graphs to solve problems? 2. Can the student recognize and use variation in solving problems?
B1. identify slope and intercepts of a line C1. Use point-slope form , slope intercept form, and standard form to graph linear equations C2. Write the equation given characteristics about the line D1. Identify an equation as direct or inverse variation D2. Write the equation of direct, inverse and joint variation E1. Write and graph an inequality F1. Given a real world application, write an equation or inequality and solve
A. Vocabulary: Matrix, Dimensions, Entries, Scalar, Scalar multiplication, Matrix operations
B. system of linear equations
C. system of linear inequalities
D. matrices
E. Linear programming
1. Can the student use a system of linear equations to solve problems?
2. Can the student use inequalities to solve problems?
3. Can the student use matrices to solve a system of linear equations?
B1. Solve a system by graphing
B2. Solve a system by substitution
B3. Solve a system by linear combination
C1. Solve a system of linear inequalities by graphing
D1. Solve a system by matrices
D2. Add, Subtract, and multiply matrices
E1. Solve Linear programming problems
3 quizzes
1 test
Chapter 5
(sections 1,2,3,4,5,6,8) (39 days)
A. Vocabulary: Quadratic function, Parabola, Vertex, Maximum, Minimum, Axis of symmetry, Binomial, Quadratic formula, Discriminant B. Graph a quadratic function C. Factor D. Multiply two binomials E. solve for the x intercepts (roots) F. discriminant G. Complex numbers H. applications
1. Can the student perform operations on and use quadratic functions to solve problems? 2. Can the student use technology to solve problems involving quadratic functions?
B1. Graph a quadratic function in vertex form B2. Graph a quadratic function in intercept form B3. Graph a quadratic function in standard form B4. State the axis of symmetry C1. Factor binomials and trinomials D1. Multiply two binomials and write as a simplified trinomial E1. solve by factoring E2. solve by taking the square root E3. solve by the quadratic formula F1. Use the discriminant to find the number of roots for a quadratic function G1. simplify complex numbers H1. Given a real world application, write an equation and solve
A. Vocabulary: Polynomial function, Leading coefficient, Degree of a Polynomial, End behavior, Fundamental
theorem of Algebra, Roots (zeros) of a Polynomial function, Local maximum/minimum
B. polynomial functions
C. Simplify polynomial expressions
D. end behavior
E. Divide polynomials
F. rational zero theorem
G. Fundamental Theorem of Algebra
H. local max?s and min?s
I. applications
1. Can the student write and simplify a polynomial function?
2. Can the student recognize and analyze the graph of polynomial functions?
B1. Evaluate and graph polynomial functions
C1. Simplify polynomial expressions
D1. Identify end behavior of polynomial functions
E1. Divide polynomials by using the remainder and Factor theorems
F1. Use the rational zero theorem to find roots of polynomial functions
G1. Find the number of zeros of a polynomial function using the Fundamental Theorem of Algebra
H1. Determine the local max?s and min?s for polynomial functions
I1. Use the graph of a polynomial function to solve real-world problems
2 quizzes
1 test
Chapter 11
(sections 1,2,3,4) (17 days)
A. arithmetic sequences and series B. geometric sequences and series
1. Can the student solve problems using an arithmetic sequence or series? 2. Can the student solve problems using a geometric sequence or series?
A1. Write and solve arithmetic sequences and series B1. Write and solve geometric sequences and series
A. Vocabulary: Properties of Exponents, Power rules, Rational exponents, nth root, Extraneous solution
B. properties of exponents
C. exponential expressions
D. radicals and rational exponents
1. Can the student use properties of exponents to evaluate and simplify an exponential expression?
B1. Identify and use the properties of exponents
C1. Simplify exponential expressions
C2. Evaluate exponential expressions
D1. Solve equations that contain radicals and rational exponents
1 quiz
1 test
Chapter 10
(17 days)
A. circles B. parabolas C. ellipses D. hyperbolas
1. Can the student write and graph equations of conics?
A1. write the equation of a circle A2. identify important characteristics of a circle A3. graph a circle B1. write the equation of a parabola B2. identify important characteristics of a parabola B3. graph a parabola C1. write the equation of an ellipse C2. identify important characteristics of an ellipse C3. graph an ellipse D1. write the equation of a hyperbola D2. identify important characteristics of a hyperbola D3. graph a hyperbola
2 quizzes 1 test
Chapter 9
Sections 9.4, 9.5 and 9.6)
Rational Expressions
and Solving Rational Equations
1. Can the student add and subtract rational expressions?
2. Can the student simplify complex rational expressions?
3.Can the student solve equations involving rational expressions?
4. Does the student understand the existence of extraneous solutions?
1. Use a common denominator of least degree to add and subtract rational expressions.
2A. Identify common factors to simplify complex, rational expressions
2B. Multiply and Divide complex rational expressions.
3A. Solving rational equations using least common multiple each side.
3B. Solving rational equations using "cross multiplication"
4A. Check solutions for extraneous solutions.
4B. Discussion of different forms of the equation which may, or may not, produce extraneous solutions
Chapter 1
(sections 1,2,3,4,5,6)(13 days)
B. algebraic expressions, order of operations
C. linear equations
D. literal equations and formulas
E. Problem solving
F. linear inequalities
G. applications
C1. Solve linear equations
D1. Rewrite equations and formulas
E1. Problem solve using linear equations and algebraic expressions
F1. Solve linear inequalities
G1. Given a real world application, write an expression and simplify
1 Test
Chapter 2
(sections 1,2,3,4,5,6,7,9.1)(22 days)
B. slope and intercepts
C. point-slope form, slope intercept form, and standard form
D. Direct variation, Inverse variation , Joint variation
E. inequality
F. applications
2. Can the student recognize and use variation in solving problems?
C1. Use point-slope form , slope intercept form, and standard form to graph linear equations
C2. Write the equation given characteristics about the line
D1. Identify an equation as direct or inverse variation
D2. Write the equation of direct, inverse and joint variation
E1. Write and graph an inequality
F1. Given a real world application, write an equation or inequality and solve
1 Test
Chapters 3 & 4
(chapter 3 sections 1,2,3; chapter 4 sections 1,2,3,4,5)(22 days)
B. system of linear equations
C. system of linear inequalities
D. matrices
E. Linear programming
2. Can the student use inequalities to solve problems?
3. Can the student use matrices to solve a system of linear equations?
B2. Solve a system by substitution
B3. Solve a system by linear combination
C1. Solve a system of linear inequalities by graphing
D1. Solve a system by matrices
D2. Add, Subtract, and multiply matrices
E1. Solve Linear programming problems
1 test
Chapter 5
(sections 1,2,3,4,5,6,8)(39 days)
B. Graph a quadratic function
C. Factor
D. Multiply two binomials
E. solve for the x intercepts (roots)
F. discriminant
G. Complex numbers
H. applications
2. Can the student use technology to solve problems involving quadratic functions?
B2. Graph a quadratic function in intercept form
B3. Graph a quadratic function in standard form
B4. State the axis of symmetry
C1. Factor binomials and trinomials
D1. Multiply two binomials and write as a simplified trinomial
E1. solve by factoring
E2. solve by taking the square root
E3. solve by the quadratic formula
F1. Use the discriminant to find the number of roots for a quadratic function
G1. simplify complex numbers
H1. Given a real world application, write an equation and solve
2 tests
Chapter 6
(sections 2,3,4,5,6,7,8)(15 days)
theorem of Algebra, Roots (zeros) of a Polynomial function, Local maximum/minimum
B. polynomial functions
C. Simplify polynomial expressions
D. end behavior
E. Divide polynomials
F. rational zero theorem
G. Fundamental Theorem of Algebra
H. local max?s and min?s
I. applications
2. Can the student recognize and analyze the graph of polynomial functions?
C1. Simplify polynomial expressions
D1. Identify end behavior of polynomial functions
E1. Divide polynomials by using the remainder and Factor theorems
F1. Use the rational zero theorem to find roots of polynomial functions
G1. Find the number of zeros of a polynomial function using the Fundamental Theorem of Algebra
H1. Determine the local max?s and min?s for polynomial functions
I1. Use the graph of a polynomial function to solve real-world problems
1 test
Chapter 11
(sections 1,2,3,4)(17 days)
B. geometric sequences and series
2. Can the student solve problems using a geometric sequence or series?
B1. Write and solve geometric sequences and series
1 test
Chapters 6 & 7
(chapter 6 section 1; chapter 7 sections 1,2,6)(10 days)
B. properties of exponents
C. exponential expressions
D. radicals and rational exponents
C1. Simplify exponential expressions
C2. Evaluate exponential expressions
D1. Solve equations that contain radicals and rational exponents
1 test
Chapter 10
(17 days)B. parabolas
C. ellipses
D. hyperbolas
A2. identify important characteristics of a circle
A3. graph a circle
B1. write the equation of a parabola
B2. identify important characteristics of a parabola
B3. graph a parabola
C1. write the equation of an ellipse
C2. identify important characteristics of an ellipse
C3. graph an ellipse
D1. write the equation of a hyperbola
D2. identify important characteristics of a hyperbola
D3. graph a hyperbola
1 test
Sections 9.4, 9.5 and 9.6)
and Solving Rational Equations
2. Can the student simplify complex rational expressions?
3.Can the student solve equations involving rational expressions?
4. Does the student understand the existence of extraneous solutions?
2A. Identify common factors to simplify complex, rational expressions
2B. Multiply and Divide complex rational expressions.
3A. Solving rational equations using least common multiple each side.
3B. Solving rational equations using "cross multiplication"
4A. Check solutions for extraneous solutions.
4B. Discussion of different forms of the equation which may, or may not, produce extraneous solutions
1 test